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Finding the Fourth Proportional to 262.31, 392.43 and 231.53

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Solution

The fourth proportional to 262.31, 392.43 and 231.53 is: 346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.31 : 392.43 = 231.53 : x
  2. Step 2: Convert to fraction form
    262.31/392.43 = 231.53/x
  3. Step 3: Cross multiply
    262.31x = 392.43 × 231.53
  4. Step 4: Simplify right side
    262.31x = 90,859.32
  5. Step 5: Solve for x
    x = 90,859.32/262.31
  6. Step 6: Final answer
    x = 346.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.